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a ) 20 : x = (-12) : 15
=> 20 . 15 = -12x
=> 300 = -12x
=> x = 300 : (-12) = -25
b) \(\frac{1}{2}:1\frac{1}{4}=x:3\frac{1}{3}\)
=> \(\frac{1}{2}:\frac{5}{4}=x:\frac{10}{3}\)
=> \(\frac{1}{2}\cdot\frac{10}{3}=\frac{5}{4}x\)
=> \(\frac{5}{3}=\frac{5}{4}x\)
=> \(x=\frac{5}{3}:\frac{5}{4}=\frac{4}{3}\)
c) \(\frac{-4,4}{9,9}=\frac{x}{1,89}\)
\(\Rightarrow-4,4\cdot1,89=9,9x\)
=> \(-8,316=9,9x\)
=> \(x=-8,316:9,9=0,84\)
\(\frac{6x}{12}+\frac{4x}{12}+\frac{3x}{12}=1\)
\(\frac{13x}{12}=1\)
x=1:13/12=12/13
Vậy x=12/13
\(\frac{x}{2}+\frac{x}{3}+\frac{x}{4}=1\)
\(\frac{6x}{12}+\frac{4x}{12}+\frac{3x}{12}=\frac{12}{12}\)
\(6x+4x+3x=12\)
\(x\left(6+4+3\right)=12\)
\(13x=12\)
\(x=12:13\)
\(x=\frac{12}{13}\)
Ta có:
\(\left(\frac{1}{2}-1\right).\left(\frac{1}{3}-1\right).\left(\frac{1}{4}-1\right).....\left(\frac{1}{2003}-1\right)\)
\(=\left(-\frac{1}{2}\right).\left(-\frac{2}{3}\right).\left(-\frac{3}{4}\right).....\left(-\frac{2002}{2003}\right)\)
\(=\frac{-1.-2.-3......-2002}{2.3.4.....2003}=\frac{1}{2003}\)
\(\left(\frac{1}{2}-1\right)\cdot\left(\frac{1}{3}-1\right)\cdot\left(\frac{1}{4}-1\right)\cdot......\cdot\left(\frac{1}{2003}-1\right)\)
=\(\frac{1}{2}\cdot\frac{2}{3}\cdot\frac{3}{4}\cdot.........\cdot\frac{2002}{2003}\) = \(\frac{1}{2003}\)
Bài làm
a) Ta có: \(\left(-\frac{3}{2}\right)^x=\frac{9}{4}\)
=>\(\left(-\frac{3}{2}\right)^x=\left(-\frac{3}{2}\right)^2\)
Vậy x = 2
b) Ta có: \(\left(-\frac{2}{3}\right)^x=-\frac{8}{27}\)
=> \(\left(-\frac{2}{3}\right)^x=\left(-\frac{2}{3}\right)^3\)
Vậy x = 3
# Học tốt #
\(\frac{-4,4}{9,9}=\frac{x}{1,89}\)
\(\Leftrightarrow x=\frac{-4,4.1,89}{9,9}\)
\(\Leftrightarrow x=-0,84\)
\(\frac{-4,4}{9,9}=\frac{x}{1,89}\)
<=> 9,9x = - 4,4 . 1,89
<=> 9,9x = - 8,316
<=> x = - 0,84